This is my issue with both plugs in an audio room having to be on the same hot wire. One side is grounded anyways &neutral) Hotside is grounded thru an average of 10 ohms with other items connected in the house and your audio gear anyways. A fe volts difference in an unbalanced load across both ht wires amunts to about zero infle
One side the neutral is connected to ground not matter what circuit hot side you are using. The hot is actually grounded too thru about 10 ohms load with other items in the house drawing current besides your audio gear and lower with AC running. What's the difference in noise with both circuits on one side or split by both hots?